Question

liz is in charge of bringing juice to her class party. she asked her classmates what type of juice she should bring.

juice for class party
flavor\tapple\tgrape\torange\tcranberry
frequency\t6\t3\t7\t4

complete the relative frequency table for the data.

juice for class party
flavor\tapple\tgrape\torange\tcranberry
relative frequency\t□%\t□%\t□%\t□%

Explanation:

Step1: Calculate total frequency

First, we find the total number of responses by adding up all the frequencies. The frequencies are 6 (Apple), 3 (Grape), 7 (Orange), and 4 (Cranberry). So, total frequency \( n = 6 + 3 + 7 + 4 = 20 \).

Step2: Calculate relative frequency for Apple

Relative frequency for a category is (frequency of the category / total frequency) * 100. For Apple: \( \frac{6}{20} \times 100 = 30\% \).

Step3: Calculate relative frequency for Grape

For Grape: \( \frac{3}{20} \times 100 = 15\% \).

Step4: Calculate relative frequency for Orange

For Orange: \( \frac{7}{20} \times 100 = 35\% \).

Step5: Calculate relative frequency for Cranberry

For Cranberry: \( \frac{4}{20} \times 100 = 20\% \).

Answer:

Apple: 30%, Grape: 15%, Orange: 35%, Cranberry: 20%